428400144 has 240 divisors, whose sum is σ = 1349288640. Its totient is φ = 130014720.

The previous prime is 428400143. The next prime is 428400197. The reversal of 428400144 is 441004824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428400143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6393999 + ... + 6394065.

It is an arithmetic number, because the mean of its divisors is an integer number (5622036).

Almost surely, 2^428400144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674644320).

428400144 is an abundant number, since it is smaller than the sum of its proper divisors (920888496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428400144 is a wasteful number, since it uses less digits than its factorization.

428400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 428400144 is about 20697.8294514183. The cubic root of 428400144 is about 753.8469858618.

Adding to 428400144 its reverse (441004824), we get a palindrome (869404968).

The spelling of 428400144 in words is "four hundred twenty-eight million, four hundred thousand, one hundred forty-four".